Subspaces of A(D)-free elements in X^N, for X in {W^{l,1}(T^d), W^{l,∞}(T^d), C^l(T^d)} with d≥2, are noncomplemented for appropriate N×N matrix operators A(D).
M.,The nonexistence of a uniform homeomorphism between spaces of smooth functions of one and ofnvariables (n≥2), Matem
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Nonexistence of Henkin type projections via a Wiener theorem for multipliers
Subspaces of A(D)-free elements in X^N, for X in {W^{l,1}(T^d), W^{l,∞}(T^d), C^l(T^d)} with d≥2, are noncomplemented for appropriate N×N matrix operators A(D).